A piece of paper that was torn contains partial information about a particular sequence. The partial information found is given as shown below:
Find the values of \(a\) and \(b\).[2]
Find the initial condition of the recurrence relation, \(u_1\).[2]
Given that the sequence of \(u_n\) converges to \(l\) as \(n\to\infty\), find the exact value of \(l\), showing your workings clearly for the calculation.[2]
Describe the behaviour of the sequence \(u_n\), where \(n\in\mathbb{Z}^+\).[1]